Simple non-Hamiltonian systems with an invariant measure
Exactly Solvable and Integrable Systems
2012-11-15 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We propose a simple construction of the non-Hamiltonian dynamical systems possessing an invariant measure. These non-Hamiltonian systems are deformations of the Hamiltonian systems associated with trivial deformations of the canonical Poisson brackets and time transformation. Sometimes these non-Hamiltonian systems can be identified with known nonholonomic systems and, therefore, the results are illustrated through the Chaplygin ball and the Veselova system.
Keywords
Cite
@article{arxiv.1206.5061,
title = {Simple non-Hamiltonian systems with an invariant measure},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:1206.5061},
year = {2012}
}
Comments
14 pages, LaTeX with AMS fonts